The relation between equivalent measures and the bipolar theorem

Authors

  • Shymaa Farhan Muter Department of mathematics, Collage of computer Science and mathematics, University of AL-Qadisiya

Abstract

          In this paper if we have Q and P are equivalent measures on the -field F  and . We define the  polar of C with respect to  Q , denoted  by CÙ’(Q), and  define  bipolar Cْْْ Ù’ (Q)

 of C with respect to Q .In this paper we study the relation between equivalent measures (p and Q)  and bipolar   of C. Also we prove   Cْْْ Ù’ (Q) = CÙ’ Ù’ (P) .         

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Published

2017-08-30

How to Cite

Farhan Muter, S. (2017). The relation between equivalent measures and the bipolar theorem. Journal of Al-Qadisiyah for Computer Science and Mathematics, 1(2), 24–31. Retrieved from https://jqcsm.qu.edu.iq/index.php/journalcm/article/view/194

Issue

Vol. 1 No. 2 (2009): JQCM

Section

Math Articles